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Finding the Third Proportional to 175,791.94 and 378,961.88

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Solution

The third proportional to 175,791.94 and 378,961.88 is: 816,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,791.94 : 378,961.88 = 378,961.88 : x
  2. Step 2: Convert to fraction form
    175,791.94/378,961.88 = 378,961.88/x
  3. Step 3: Cross multiply
    175,791.94x = 378,961.88 × 378,961.88
  4. Step 4: Simplify right side
    175,791.94x = 143,612,102,703.52
  5. Step 5: Solve for x
    x = 143,612,102,703.52/175,791.94
  6. Step 6: Final answer
    x = 816,943.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.